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Finding the Fourth Proportional to 10,412.80, 15,619.20 and 5,216.80

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Solution

The fourth proportional to 10,412.80, 15,619.20 and 5,216.80 is: 7,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.80 : 15,619.20 = 5,216.80 : x
  2. Step 2: Convert to fraction form
    10,412.80/15,619.20 = 5,216.80/x
  3. Step 3: Cross multiply
    10,412.80x = 15,619.20 × 5,216.80
  4. Step 4: Simplify right side
    10,412.80x = 81,482,242.56
  5. Step 5: Solve for x
    x = 81,482,242.56/10,412.80
  6. Step 6: Final answer
    x = 7,825.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.